Sample questions on radiation and electromagnetism in macroscopic media.

True or false:  All materials are diamagnetic to some extent.

Why is the susceptibility negative in diamagnetic materials?

Would you expect the paramatnetic susceptibility to increase or decrease with temperature?  Why?

Define the M and P vectors.  Give a physical model for the simplest electric and magnetic dipoles you can think of.

Show that continuity of the normal component of D at a boundary between materials of two different permitivities implies discontinuity of E.

What is the difference between the microscopic and macroscopic forms of Maxwell's equations.

Sketch the field lines of a magnetic dipole and an electric dipole.

Show that both the normal and tangential components of the magnetic potential must be continuous across the boundary of two media if the currents are constant.

What is the difference between the integral solution for the potentials in the static and dynamic cases?

Show that whereas static electric and magnetic fields decay as the inverse-square of distance, dynamic fields decay only as one over the distance. What are the implications of this for ground penetrating radar?

What is the connection between the phase velocity of electromagnetic waves and the relative permitivity in non-magnetic materials?

How fast would light propagate in a dielectric whose index of refraction is 2.0?

We apply an alternating electric field E0 cos(wt) to a good conductor of conductivity sigma. What is the ratio of the displacement current density (dD/dt) to the conduction current density J? To get a feel for the numbers assume the relative permitivity is 1 and the conductivity is 10^7 and compute the ratio.